Cantor ternary set

Cantor ternary set

[′kän·tȯr ′tər·nə·rē ‚set]

(mathematics)

A perfect, uncountable, totally disconnected subset of the real numbers having Lebesgue measure zero; it consists of all numbers between 0 and 1 (inclusive) with ternary representations containing no ones.

Covering the areas of functions, limits, derivations, and integrals, they include the mysterious fractal Cantor ternary set, a paint shortage, a limit of perimeter curves that shows 2=1, and a continuous function with a jump discontinuity.

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